The course provides an introduction to fundamental methods and principles in visualization for mathematics, data science and industrial applications. We discuss mathematical foundations and data structures and present several core algorithms and tools. The students get practical hands-on experience with at least one visualization system during a larger project work and develop strategies and ...

A selection of the following topics: ● Exponential map and the Hopf-Rinow theorem ● Connection between curvature and topology (e.g. Myer's theorem, Hadamard-Cartan, Klingenberg, rigidity theorems) ● Closed geodesics ● Stokes' theorem and Cohomology● Spaces of constant curvature, Lie groups, homogeneous spaces● Conformal geometry, geometric differential equations● Basic notions ...

Regular participation: at least 85% of participation in the tutorials is needed. Active participation: at least 60% of all possible points that can be earned in the homework assignements are needed.

Students in the Bachelor's program, preparation for Bachelor thesis. Students in the Master's program may take credit of this seminar.

Time

Preliminary Meeting: April, 17th, 2018, 10-12, in 108/109/A6 Dates during Semester: talks will take place on Tuesdays, 10-12, 025/026, concrete dates will be given in the preliminary meeting